{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Dynamic mode decomposition with control on a high-dimensional linear system\n",
    "Dynamic mode decomposition with control (DMDc) aims to disambiguate the effect of control/actuation\n",
    "from the unforced dynamics.\n",
    "We apply DMDc to a 50-dimensional stable linear system\n",
    "with intrinsic low-dimensional dynamics - 5-dimensions,\n",
    "(this is example 2 in Sec. 4 in Proctor et al., _\"Dynamic Mode Decomposition with Control\"_, SIAM 2016).\n",
    "\n",
    "$$x_{k+1} =Ax_k + B u_k \\in \\mathbb{R}^{5}, \\quad u \\in\\mathbb{R}^2,\\quad y_k = Cx_k \\in \\mathbb{R}^{50}$$\n",
    "\n",
    "Goal: given access to $Y$ and input $U$, we want to identify a DMD with control model at rank 5 for state, and rank 2 for input**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first import the pyKoopman package and other packages for plotting and matrix manipulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../src')"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "import matplotlib.cm as cm\n",
    "\n",
    "import pykoopman as pk"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define state and control matrices of the linear control system and collect data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pykoopman.common  import drss, advance_linear_system\n",
    "\n",
    "n_states = 5\n",
    "n_controls = 2\n",
    "n_measurements = 50\n",
    "A,B,C = drss(n_states, n_controls, n_measurements)\n",
    "\n",
    "x0 = np.array([4, 7, 2, 8, 0])\n",
    "u = np.array([[-4, -2, -1, -0.5, 0, 0.5, 1, 3, 5, 9,\n",
    "               8, 4, 3.5, 1, 2, 3, 1.5, 0.5, 0, 1,\n",
    "               -1, -0.5, -2, -4, -5, -7, -9, -6, -5, -5.5],\n",
    "              [4, 1, -1, -0.5, 0, 1, 2, 4, 3, 1.5,\n",
    "               1, 0, -1, -1.5, -2, -1, -3, -5, -9, -7,\n",
    "               -5, -6, -8, -6, -4, -3, -2, -0.5, 0.5, 3]])\n",
    "n = u.shape[1]\n",
    "X,Y = advance_linear_system(x0,u,n,A,B,C)\n",
    "U = u.transpose()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualization of the system and collected data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "[Text(0.5, 1.0, 'C')]"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x300 with 3 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,3))\n",
    "ax = fig.add_subplot(131)\n",
    "ax.imshow(A, aspect='auto', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='A')\n",
    "\n",
    "ax = fig.add_subplot(132)\n",
    "ax.imshow(B, aspect='1', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='B')\n",
    "\n",
    "ax = fig.add_subplot(133)\n",
    "ax.imshow(C, aspect='auto', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='C')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "[Text(0, 0.5, '$Y$'), Text(0.5, 0, 'steps $k$')]"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x600 with 3 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(311)\n",
    "ax.plot(np.linspace(0,n-1,n),U[:,0],'-o', color='c', label='u1')\n",
    "ax.plot(np.linspace(0,n-1,n),U[:,1],'-o', color='b', label='u2')\n",
    "ax.set(ylabel=r'$U$')\n",
    "ax.legend(loc='best')\n",
    "\n",
    "ax = fig.add_subplot(312)\n",
    "ax.plot(np.linspace(0,n-1,n),X,'-', label='X')\n",
    "ax.set(ylabel=r'$X$')\n",
    "\n",
    "ax = fig.add_subplot(313)\n",
    "ax.imshow(Y.transpose(), aspect='auto', cmap=plt.get_cmap('magma'))\n",
    "# ax.set_aspect('auto')\n",
    "ax.set(\n",
    "        ylabel=r'$Y$',\n",
    "        xlabel=r'steps $k$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apply DMD with control to the measurement data $Y$ collected from the controlled system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "False"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 700x700 with 4 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "DMDc = pk.regression.DMDc(svd_rank=5+2, svd_output_rank=5)\n",
    "\n",
    "model = pk.Koopman(regressor=DMDc)\n",
    "model.fit(x=Y,u=U)\n",
    "# Aest = model.ur @ model.A @ model.ur.T\n",
    "# Best = model.ur @ model.B\n",
    "\n",
    "Aest = model.A\n",
    "Best = model.B\n",
    "\n",
    "fig = plt.figure(figsize=(7, 7))\n",
    "ax = fig.add_subplot(221)\n",
    "ax.imshow(A, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='A')\n",
    "\n",
    "ax = fig.add_subplot(222)\n",
    "ax.imshow(B, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='B')\n",
    "\n",
    "ax = fig.add_subplot(223)\n",
    "ax.imshow(Aest, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='DMDc - A_r')\n",
    "\n",
    "ax = fig.add_subplot(224)\n",
    "ax.imshow(Best, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='DMDc - B_r')\n",
    "\n",
    "# Only true if C = Inxn, where n = number of states x\n",
    "np.allclose(np.concatenate((A,B),axis=1),np.concatenate((Aest,Best),axis=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the resulting system matrices, $A^{DMDc}$ and $B^{DMDc}$, may not be identical to the original\n",
    "system matrices, $A$ and $B$, as DMDc is applied to\n",
    "the measurement data $Y$, and not the state $X$.\n",
    "Further, if the number of measurements is larger than the state dimension,\n",
    "a low-dimensional projection is performed.\n",
    "However, the systems are identical up to a linear transformation,\n",
    "so the eigenvalues must be the same. Let's check that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1000x300 with 3 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "W,V = np.linalg.eig(A)\n",
    "\n",
    "West, Vest = np.linalg.eig(Aest)\n",
    "\n",
    "fig=plt.figure(figsize=(10,3))\n",
    "grid = plt.GridSpec(2, 3, wspace=0.4, hspace=0.5)\n",
    "\n",
    "ax = plt.subplot(grid[0:, 0])\n",
    "ax.plot(np.real(W), np.imag(W), 'o', color='lightgrey', label='Truth')\n",
    "ax.plot(np.real(West), np.imag(West), 'xr', label='DMDc')\n",
    "ax.set(title='Eigenvalues')\n",
    "ax.legend()\n",
    "\n",
    "ax = plt.subplot(grid[0, 1:], title='Eigenvectors (real part)')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.real(V[:,i]),'-', color='lightgrey', label='Truth')\n",
    "    ax.plot(np.real(Vest[:,i]),'--', color='red', label='DMDc')\n",
    "\n",
    "ax = plt.subplot(grid[1, 1:], title='Eigenvectors (imag part)')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.imag(V[:,i]),'-', color='lightgrey', label='Truth')\n",
    "    ax.plot(np.imag(Vest[:,i]),'--', color='red', label='DMDc')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Note that the eigenvectors live in different spaces, and thus don't have to be aligned.\n",
    "- If we have knowledge of the measurement matrix $C$, we can estimate the\n",
    "transition matrix $A$ of the underlying system and also align the eigenvectors.\n",
    "For the estimation of $A$, we need also the output projection matrix $P$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 3 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Estimate inverse of measurement matrix C\n",
    "r = n_states\n",
    "Uc,sc,Vch = np.linalg.svd(C,full_matrices=False)\n",
    "Sc = np.diag(sc[:r])\n",
    "Cinv = np.dot(Vch[:,:r].T, np.dot(np.linalg.inv(Sc), Uc[:,:r].T))\n",
    "\n",
    "# Output projection matrix of DMDc model\n",
    "P = model.ur\n",
    "\n",
    "# Estimate Atilde as approximation to A (for where x lives, not y)\n",
    "Atilde = np.dot(Cinv,np.dot(np.dot(P,np.dot(Aest, P.T)),C))\n",
    "\n",
    "# Spectral decomposition\n",
    "Wtilde, Vtilde = np.linalg.eig(Atilde)\n",
    "\n",
    "\n",
    "grid = plt.GridSpec(2, 3, wspace=0.4, hspace=0.5)\n",
    "\n",
    "ax = plt.subplot(grid[0:, 0], title='Eigenvalues')\n",
    "ax.plot(np.real(W), np.imag(W), 'o', color='lightgrey', label='Truth')\n",
    "ax.plot(np.real(Wtilde), np.imag(West), 'xr', label='DMDc')\n",
    "ax.legend()\n",
    "\n",
    "ax = plt.subplot(grid[0, 1:], title='Eigenvectores (mag part)')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.real(V[:,i]),'-', color='grey', label='Truth')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.real(Vtilde[:,i]),'--', color='red', label='DMDc')\n",
    "\n",
    "ax = plt.subplot(grid[1, 1:], title='Eigenvectores (imag part)')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.imag(V[:,i]),'-', color='grey', label='Truth')\n",
    "for i in range(V.shape[1]):\n",
    "    ax.plot(np.imag(Vtilde[:,i]),'--', color='red', label='DMDc')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There may be a difference up to a sign in the eigenvectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's visualize the projection matrix, it can be different"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "[Text(0.5, 1.0, 'Model Original Projection')]"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 700x700 with 2 Axes>",
      "image/png": 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h1KhRI61Zs8ZvW13msa1x48bpiiuuUFhYmBITE33vbx/IdhZGRUWpdevWvvNrs379euXn5yslJaXW86t/xtUv7R+tWXg48ztQdtk4qiFe/TH/3/3udxo5cmStNZ06dZL064fMRo0apcGDB+v2229XSkqKwsPDNX36dN+du7/930s60MGezZr/9+GXqqoqeTweLV68uNbaQ73HcTiaNGmifv36Baw71G2qq+r7/r///a/S0tJqnL//p4HrW6CfF05sI0aM0NixY5Wbm6v+/fvX+gT3WKjLfLLVvn17ffnllyotLT3otzbWrFmjyMjIGgcHR/Pxfyg2j7e6zmNbbdu2rZdZmJKSoqeeeqrW8w/2im59OBqz8KhO9upPhlZWVgb8wT3//PNq3bq1XnzxRb9niVOmTDmauyRJatOmjYwxSk9P16mnnnrQupYtW0r69Znc/ke05eXlys7OVufOnY/6vtV2/evWratx3vfff68mTZoc9KsX1UchKSkph7zvq19RWLt27SH3pS4vJ7Vs2fKg+1x9PlDtsssu0/jx47VixQo9++yzB61r2bKl3nnnnRovWR/4e9WyZUtVVVXpxx9/9DsKOvB3si7zydZvfvMbLV++XIsWLfJ7ybraxo0b9eGHH6pfv36HFVTVt3HDhg1+R6u7du06qq9cHc95bGP/Wbj/q6BlZWXKzs4+5M+vTZs2euedd9SzZ89D3ufVM3Pt2rU1XunYn+0sPJL5fSSO6nvi4eHhGjp0qF544YVaQ2LHjh1+tZL/M45PP/1Uy5cvP5q7JEkaMmSIwsPDdffdd9d4hmOM0a5duyRJZ599tpKTk/Xoo4+qrKzMVzN//vzjsnLZSSedpC5dumjBggV+17d27Vq99dZbvgUlapOVlaX4+Hj97W9/83sprFr1fZ+cnKxzzz1Xjz/+uDZv3uxXs/99U/3LZnO7L7nkEn322Wd+P7uioiLNmTNHrVq1UocOHQL2QOiIjY3V7NmzNXXqVA0cOPCgddWLhDz88MN+22fMmCGPx+P7ZHX1fw/8dPuBq2zVZT7ZGj9+vFJSUnT77bfX+EzHvn37NHr0aBljdNddd9W5tyRdcMEFioiI0OzZs/22H3ifHKnjOY9t9OvXT1FRUXrwwQf99mnu3LnKz8+v9ZsH1YYNG6bKykr99a9/rXFeRUWFb6ZddNFFiouL0/Tp02t80v/AWZifnx9wn49kfh+JwzoSf/zxx7VkyZIa22+99Vbde++9eu+999S9e3eNHTtWHTp00C+//KJVq1bpnXfe0S+//CLp12ewL774oi677DINGDBA2dnZevTRR9WhQwft3bv3yG7VAdq0aaNp06Zp8uTJ2rhxowYPHqy4uDhlZ2frpZde0rhx4/SHP/xBkZGRmjZtmsaPH6++ffvqyiuvVHZ2tubNm1en98SPxP3336/+/fsrMzNTY8aM8X1FISEh4ZDrFcfHx2v27Nm6+uqrddZZZ2n48OFKTk7W5s2b9frrr6tnz56+B/6DDz6oXr166ayzztK4ceOUnp6ujRs36vXXX/ctiZiRkSFJuuOOOzR8+HBFRkZq4MCBtT6T/POf/+z72tAtt9yipKQkLViwQNnZ2XrhhRdY3Q01HOzl7P0NHDhQ559/vu644w5t3LhRnTt31ltvvaVXXnlFEydO9B1JdenSRVdddZVmzZql/Px89ejRQ0uXLq117QHb+WSrcePGev755zVgwACdddZZNVZs27Bhgx544IFDLvRyKKmpqbr11lv1z3/+U4MGDdLFF1+sr776SosXL1aTJk0O+8OoBzqe89hGcnKyJk+erLvvvlsXX3yxBg0apHXr1mnWrFnq2rVrra96VOvTp4/Gjx+v6dOna/Xq1brooosUGRmp9evXa9GiRXrggQd0+eWXKz4+XjNmzNB1112nrl27asSIEWrUqJG++uorFRcXa8GCBZJ+nYXPPvusJk2apK5duyo2NvagTz4Pd34fkbp8lL366wAHO+Xk5BhjjMnLyzMTJkwwzZs3N5GRkSYtLc1ccMEFZs6cOb5eVVVV5m9/+5tp2bKl8Xq95swzzzSvvfZaja8LVH+M//7776+xP9Uf09+xY0et+3ng16NeeOEF06tXL9OwYUPTsGFD065dOzNhwgSzbt06v7pZs2aZ9PR04/V6zdlnn20++OAD06dPH+uvmO3/NZnaHOo2GWPMO++8Y3r27GliYmJMfHy8GThwoPn222+tbuN7771nsrKyTEJCgomOjjZt2rQxo0aNMl988YVf3dq1a81ll11mEhMTTXR0tDnttNPMnXfe6Vfz17/+1Zx88skmLCzM77oO/IqZMcb8+OOP5vLLL/f169atm3nttddq7Jsks2jRolrvj0Bf54GbbL6aakztj53CwkJz2223maZNm5rIyEjTtm1bc//99/t9BcgYY0pKSswtt9xiGjdubBo2bGgGDhxocnJyav06lM18quvvZHZ2thk7dqxp0aKFiYyMNE2aNDGDBg3y+9qlzf1R2+O6oqLC3HnnnSYtLc3ExMSYvn37mu+++840btzYXH/99b66g33FrGPHjjWu58A5azuPjanbV8wONuNs7gtjfv1KWbt27UxkZKRJTU01N9xwg9m9e/chb0u1OXPmmIyMDBMTE2Pi4uLMGWecYf74xz+arVu3+tX97//+r+nRo4dv3nbr1s08/fTTvvP37t1rRowYYRITE40k33Ud7HfEZn7XNbsOxWMMnyZy0dy5c3XdddcpJyfHb4UjACe+PXv2qFGjRpo2bZpvpcVQdfXVV2v58uUhu+ojr3M6atu2bfJ4PH7fRwRw4ikpKamxrfr9/mD688j1Zdu2bb5VJUNR8HzvCFby8vL0/PPP69FHH1VmZqYaNGhQ37sE4Bh69tlnNX/+fF1yySWKjY3VRx99pKeffloXXXSRevbsWd+7V2/WrFmjl19+WR988IHvbz2EIkLcMd99951uv/12devWTf/+97/re3cAHGOdOnVSRESE7rvvPhUUFPg+7DZt2rT63rV69eKLL+qhhx7S8OHDNXny5PrenXrDe+IAADiK98QBAHAUIQ4AgKNC6j3xqqoqbd26VXFxcUdtkYRgYIxRYWGhmjZtysIqgKOYTzgcIRXiW7duVfPmzet7N44ZvjMOuIv5hMPhZIg/8sgjuv/++5Wbm6vOnTvroYceUrdu3QJervqPKPy59SR5w2r/i0P721Vqv09ZacVWdYUVkdY9W8TaLXdYVFGmrOWPB/y7xgCOvSOdT4+dcbNiwgPPp1axRdb7tL7AbjZ0bBR4jfBqaWl7rOoKy8t1xosvMp+OEedCvHoN20cffVTdu3fXzJkzlZWVpXXr1h3078dWq36JyhvmVXR49CFrf62z36+GEZVWdZXGPsRjI2r+IZNDOZFeggNcdDTmU0y4Vw0sQjw2osJ6v2z6/dozyrpnfJR9rcR8Olace4PiX//6l8aOHavRo0erQ4cOevTRR9WgQQM9/vjj9b1rAEIc8wnHm1MhXlZWppUrV/r9LdmwsDD169ev3v5kHgBIzCfUD6deTt+5c6cqKyuVmprqtz01NVXff/99jfrS0lKVlv7fG9sFBQXHfB8BhCbmE+qDU0fidTV9+nQlJCT4TifyJz8BuIX5hKPBqRBv0qSJwsPDlZeX57c9Ly9PaWlpNeonT56s/Px83yknJ+d47SqAEMN8Qn1wKsSjoqKUkZGhpUuX+rZVVVVp6dKlyszMrFHv9XoVHx/vdwKAY4H5hPrg1HvikjRp0iSNHDlSZ599trp166aZM2eqqKhIo0ePru9dAxDimE843pwL8SuvvFI7duzQXXfdpdzcXHXp0kVLliyp8WESADjemE843kLqT5EWFBQoISFBG6+80mqhgu+zD704w/52lNotprBqt12dJI1pv8WqrrC8TB2XLFB+fj4vyQGOqp5Pc874k9WKbREe+9G9aJNd7Tkp9otRnR6/z6quuLJUl6/8F/PpGHHqPXEAAPB/CHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAc5dza6UfDN9mpahgReFnD1o33WPf8ftNJVnVTphVY91z9aEOrur0VIfljBE5I4R5jtaRqn1Y/W/e8YqTd8dqN9zWz7vlhnseqrtzY1eHwcCQOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAo0Jyqa8Eb5liIwKvIjT3O/vVi6Isnw5tfGKvdc/4aLumnooy654ATgzJmfa1ixbYrSg5uFmpdc/8crv4KK4M15I91m1RRxyJAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4ChCHAAAR4Xksqtf/ZKgmHBvwLqTY6qse7aPL7Kq+2FXI+ueu8sireqKK+2XSgRwYnj+6ZOtayPD7GZZWoMS655xlsuuFlUwn44ljsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjQnLZ1XNSdyk2IipgXbNT86177trUwKru2+2NrXu+k2v3HKusiudiwIliZ1mYYsLDA9Y9u2W3dc+bWsdb1a3Lj7Pu+drPHqu68qrAtwWHj+kPAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcFZLLrsbHlSgusjJg3eylba17JkdVWdWt3mO/BGGTaLu60iq75Q8BBL8mUVVqEB54PtkupSpJ92dvt6r78Hd7rXvq49ZWZcWVRs/ttG+LuuFIHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEeF5Ipt937eXFFhgZdDiwqzXwltfK+frOoqP7Vb5UiSfntptlVdQWmZZt5n3RZAENu2L0zR4YFXdjw5OvCqbtXuOqWJVd2LH6Va9/ztvyKt6gqKqjRmoHVb1BFH4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFEhuezqP59oqPiGgZddve3KYuueMZ0aWNWd8k2Jdc9/PXeKVd2+yn3WPQEEt7/8cJ+kwEs+P33m/2fd81/r7ebOzDOrrHs++/s4q7riynLrnqg7jsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjQnLZ1cduKlJMeGXAun+M22jd86fXYqzqlv8Sa92zc4LdcqrFlaXWPQEEt4/PHavYCG/Auiu+/MG6531t7ZZwXrQ5yrpnp4QK61ocOxyJAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4ChCHAAAR4Xksqu/abVNcZGBlxd8eGEr657nJu+xqsstsW6pgc0Krer2VpTZNwUQ1N7ZlqTo8OiAdXe3SrDuOXN9sVXdHe3tl1LteNIOq7rC8jJpjXVb1FFQHYl/8MEHGjhwoJo2bSqPx6OXX37Z73xjjO666y6ddNJJiomJUb9+/bR+/fr62VkAIYX5hGAUVCFeVFSkzp0765FHHqn1/Pvuu08PPvigHn30UX366adq2LChsrKytG+f3R8KAYDDxXxCMAqql9P79++v/v3713qeMUYzZ87UX/7yF1166aWSpCeeeEKpqal6+eWXNXz48OO5qwBCDPMJwSiojsQPJTs7W7m5uerXr59vW0JCgrp3767ly5fXepnS0lIVFBT4nQDgaGM+ob44E+K5ubmSpNTUVL/tqampvvMONH36dCUkJPhOzZs3P+b7CSD0MJ9QX5wJ8cMxefJk5efn+045OTn1vUsAIIn5hKPDmRBPS0uTJOXl5fltz8vL8513IK/Xq/j4eL8TABxtzCfUF2dCPD09XWlpaVq6dKlvW0FBgT799FNlZmbW454BCHXMJ9SXoPp0+t69e7Vhwwbfv7Ozs7V69WolJSWpRYsWmjhxoqZNm6a2bdsqPT1dd955p5o2barBgwfX304DCAnMJwSjoArxL774Queff77v35MmTZIkjRw5UvPnz9cf//hHFRUVady4cdqzZ4969eqlJUuWKDo68OpGAHAkmE8IRh5jjKnvnTheCgoKlJCQoCmnTLZa1jAyzP6uaRtrt/Tphr2Bl3ut1rVRkVVdUUWp+n/2oPLz83lfDXBU9XxamjlBDSO8Aeu3FMdY995UHGlVd0kzu6VUJalRgt1SroXlZWr7ylPMp2PEmffEAQCAP0IcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4KigWnb1eDk3uUANI0oD1oV77FdsKyi3W4mtXVzg6622vdSuZ3FlyCy6B5zwNhY1VIPwwCu2/VIebt2zUWSVVd3qnUnWPX/ZlmxVV1K5z7on6o4jcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4KiQXHZ1xa44RYdHB6zbUuyx7nlGQqVV3Yj+P1n3fPGtdKu6siqeiwGhZnS/9da1pb/YzYj8XTHWPT/6OdWqLtJjt+QrDg/THwAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOCokl129ND1XcZFRAeua9iq37jn50VZWdYvebG3dc9iAbKu6gtIyXbfGui2AIHZ+my1W8+n9T1pY99xQ5LWqe3bLbuuevZLs4qO0qsK6J+qOI3EAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOCokFx29esdjdUgPPAyhG88GWnd87JmhVZ172+Ps+5ZsD7cqq6w3K4OQPB778dmVvMpJrzKuuemvR6ruptax1v3vPiMDVZ1BWVlmrnJui3qiCNxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHBWSK7ZdfH2x4htUBqzb/dpu654JXeyeD7VdudO6Z+Or0qzqIotLpZes2wIIYndu+kJhnsCj+f707tY9z06qsKq7es0s657/1Y1WdcWVpdY9UXcciQMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEeF5LKrXzweroYR4QHrPtzZ2rrnpCfPtar76fxXrXveMi7Kqq68ylj3BBDcthV8IY/HE7DuT9mBZ1i1v6efbVW34eKh1j2lPKuqwvIyaU0d2qJOOBIHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOCsllVxs3LFFsRGXAutv67bDuWTjyR6u6nOIW1j0XXPeTVV1BaZle+Jd1WwBB7O5TJig6PDpg3drdVXXoald74Se7rTve3+ZUq7riylLrnqg7jsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjQnLZ1TCPUXiYCVj33MstrXtGWvSTpGc3WrdU/LvNrOqKKljWEDhRdIzfp4YRgedJw4jAS7NWm7LxB6u6RV2aWvf0eAqt6vYyn44pjsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjQnLZ1Qe/SVFUWOAlCx+6YaN1zzdesVuucEiLcOueH++KsaorrfJY9wQQ3Hqc+bPioyID1v1lYZx1zyU9Eq3qPt0Wb93zu0K7+Cit2mfdE3UXNEfi06dPV9euXRUXF6eUlBQNHjxY69at86vZt2+fJkyYoMaNGys2NlZDhw5VXl5ePe0xgFDBfEKwCpoQX7ZsmSZMmKAVK1bo7bffVnl5uS666CIVFRX5am677Ta9+uqrWrRokZYtW6atW7dqyJAh9bjXAEIB8wnBKmheTl+yZInfv+fPn6+UlBStXLlS5557rvLz8zV37lwtXLhQffv2lSTNmzdP7du314oVK3TOOefUx24DCAHMJwSroDkSP1B+fr4kKSkpSZK0cuVKlZeXq1+/fr6adu3aqUWLFlq+fHmtPUpLS1VQUOB3AoAjxXxCsAjKEK+qqtLEiRPVs2dPnX766ZKk3NxcRUVFKTEx0a82NTVVubm5tfaZPn26EhISfKfmzZsf610HcIJjPiGYBGWIT5gwQWvXrtUzzzxzRH0mT56s/Px83yknJ+co7SGAUMV8QjAJmvfEq91000167bXX9MEHH6hZs2a+7WlpaSorK9OePXv8nu3m5eUpLS2t1l5er1der/dY7zKAEMF8QrAJmiNxY4xuuukmvfTSS3r33XeVnp7ud35GRoYiIyO1dOlS37Z169Zp8+bNyszMPN67CyCEMJ8QrILmSHzChAlauHChXnnlFcXFxfneR0pISFBMTIwSEhI0ZswYTZo0SUlJSYqPj9fNN9+szMxMPvkJ4JhiPiFYBU2Iz549W5J03nnn+W2fN2+eRo0aJUmaMWOGwsLCNHToUJWWliorK0uzZs2q83X9pmmpGtrc8gj7ldB6n7rFqu7Zr9IDF/0/G/IrrerKq6qsewKou+M5n974rJUahAd+mf2bkiese3667Zo670cgv5Qaq7qyKrs6HJ6gCXFjAv+go6Oj9cgjj+iRRx45DnsEAL9iPiFYBc174gAAoG4IcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjgmbFtuNpbUG0osOjA9bN+6f93/d96n+2W9U1/aHcuufc322yqisoLdeiuq/uCCAILdpcqUhP4CWXH+9w9JdSrYsHn4qyqisoqtKc/sd4Z0IYR+IAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRIbns6gUn/aLYCG/AulNj46x7LpidYlXXJanAumfhlkirur3lxrongOB2RYtwNQgPD1jXp9XP1j2XbTzZqi6nxD4Snr21xKquuLLUuifqjiNxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgqJBcdvWKr9YrzBP4pr/UqaN1zwvP2W5V99yHbax7rv4l3qquhGUNgRNGu8R8q2Whe73/i3XPVZeWW9Wt+SHNuueZZ2y1qisoK5fWWLdFHXEkDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKNCcsW26ekZahAeeEWk0zOyrXtuXJtoVTeowybrnom9oq3qCkrKNOEP1m0BBLFvdicqxmI+/aV5onXPyAY/WtUN//YL657/LOllVVfMipLHFEfiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUSG57GpRRZiqTODnL8s+aW7d8+z0bVZ1jUa1su65/K9FVnVFFSxrCJwoPtnhUVRY4Pl03SkF1j1j+p1sVTdqyanWPXNK7Or2VVZY90TdcSQOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcFZLLrjaLKVVDi1v+6A9R1j2v+maNVd13FfbPm7aW2C2VWFzpse4JILjdk/WT4qMCz57o2WOsez7b9V2ruruuWG/d867n2lrVlVZZt8Rh4EgcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4KiSXXd1VFqmSysiAddO77rTu+VBsF6u6hJbl1j0vjN1kVVdQViattm4LIIg99GEbecOiA9a1s1xKVZIG9822qrtiTgvrniNaVVjVFVdWWvdE3XEkDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHBWSy66+vS1cUWHhAeviIhKtezYosFuCsPcdza17mgWfWtVFlRrrngCCW9vYSjUIDzxPBnb/ybpn5J8us6pLfHKNdU+JuRMMOBIHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUSG5Ylt8lEfesMDPX87rsdm651sftbKqu3XQL9Y9p/a0+/GUlFdZ9wQQ3Ab03Kh4b2TAut89kW7d8/JPv7KqaxJtHwldmmy3qttbUWbdE3XHkTgAAI4KmhCfPXu2OnXqpPj4eMXHxyszM1OLFy/2nb9v3z5NmDBBjRs3VmxsrIYOHaq8vLx63GMAoYL5hGAVNCHerFkz3XvvvVq5cqW++OIL9e3bV5deeqm++eYbSdJtt92mV199VYsWLdKyZcu0detWDRkypJ73GkAoYD4hWAXNe+IDBw70+/c999yj2bNna8WKFWrWrJnmzp2rhQsXqm/fvpKkefPmqX379lqxYoXOOeec+thlACGC+YRgFTRH4vurrKzUM888o6KiImVmZmrlypUqLy9Xv379fDXt2rVTixYttHz58oP2KS0tVUFBgd8JAI4E8wnBJKhC/Ouvv1ZsbKy8Xq+uv/56vfTSS+rQoYNyc3MVFRWlxMREv/rU1FTl5uYetN/06dOVkJDgOzVvbv+3vAFgf8wnBKOgCvHTTjtNq1ev1qeffqobbrhBI0eO1LfffnvY/SZPnqz8/HzfKScn5yjuLYBQwnxCMAqa98QlKSoqSqeccookKSMjQ59//rkeeOABXXnllSorK9OePXv8nu3m5eUpLS3toP28Xq+8Xu+x3m0AIYD5hGAUVEfiB6qqqlJpaakyMjIUGRmppUuX+s5bt26dNm/erMzMzHrcQwChivmEYBA0R+KTJ09W//791aJFCxUWFmrhwoV6//339eabbyohIUFjxozRpEmTlJSUpPj4eN18883KzMzkk58AjjnmE4JV0IT49u3bdc0112jbtm1KSEhQp06d9Oabb+rCCy+UJM2YMUNhYWEaOnSoSktLlZWVpVmzZh3WdZ2bXK4G4YFfhNizyf6lruJKuxc1zmlcad2zaK/d9ReVe6x7Aqi74zmfsr9ppNiIqIB1FzS1H98e2c2d6HDrllq9M8mqrriy1L4p6ixoQnzu3LmHPD86OlqPPPKIHnnkkeO0RwDwK+YTglVQvycOAAAOjhAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOCpoVmw7nt7fHqGosMiAdeN++N6651sZcVZ1O0qirXt6o8ut6srC7eoABL+3tiUpOjzwnLhlwHrrni+/m25VN/l8+56xw0+xqisoCtOYwdZtUUcciQMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEeF5LKrv22Vr9iIfQHr7jvTbqlCSXp5WbxV3fDJJdY9x97awqqurKrUuieA4NYsplINwisC1tkupSpJV4zOtap79DG7pVQl6Y9PPmFVZ0yVdU/UHUfiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOCokV2xLa1SouMjAq5x9+cVJ1j2vvOkXq7oX/55o3bOR1+45VmmVx7ongOA2d2ORIjyBV2wrVZl1z58ebmZVl9HIfkXJuR1+a1VXXFmqMWvus+6LuuFIHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOCokl119K7uZYsK9Aeve3lpl3bPdOzus6iLDEqx7ntzAWNXtq7SrAxD8OsXHyxsWHbDunMaBl2attqvMbkb07ppj3bM03+4YsKCsTFpj3RZ1xJE4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwVEguuzq0+0+Kj4oMWFf0QVvrnlvy7JZT7d3OfllD7w8nW9UVVZRa9wQQ3H4uqlCkpzxg3e8751n3/HhLmlXd/37c2rrn1n3hVnX7KvdZ90TdcSQOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcFZLLrv7t7TbyhkUHrOuUWGndMyHGbmnBJ1e1se75yfYqq7ryKmPdE0BwG9m6Ug3CA8+eWz5Ose45rKVd3WV9s617fv253fXvrSiVfrBuizriSBwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADgqJJddTYmWosMD1yVGVVj3vOPzNKu6Qc3se66u+NGqrtKUW/cEENz6nP+z4r1RAevyy1sd9euO6pRkXTvziViruvKqyMPdHVjgSBwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHheSKbb+USV6Lpy+ZZ2y17vmfDU2t6r7a47Xu+d8z7FaB21tRqvM/sW4LIIhFntNSkQ0t5sQb9j1LKj1WdS89GGfds99JttctLdpl3RZ1xJE4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwVEguu7q9xCgqrCpg3ZYdidY9+6RFWdV9tyfw9VZr1iTfqq6wvMy6J4DgVrlmiyqjA8+TjcXp1j0bRhiruphwuzpJGtRhk1VdYXmZ9I11W9RR0B6J33vvvfJ4PJo4caJv2759+zRhwgQ1btxYsbGxGjp0qPLy8upvJwGEJOYTgkVQhvjnn3+uxx57TJ06dfLbftttt+nVV1/VokWLtGzZMm3dulVDhgypp70EEIqYTwgmQRfie/fu1W9/+1v9+9//VqNGjXzb8/PzNXfuXP3rX/9S3759lZGRoXnz5umTTz7RihUr6nGPAYQK5hOCTdCF+IQJEzRgwAD169fPb/vKlStVXl7ut71du3Zq0aKFli9ffrx3E0AIYj4h2ATVB9ueeeYZrVq1Sp9//nmN83JzcxUVFaXExES/7ampqcrNza21X2lpqUpLS33/LigoOKr7CyB0MJ8QjILmSDwnJ0e33nqrnnrqKUVHRx+VntOnT1dCQoLv1Lx586PSF0BoYT4hWAVNiK9cuVLbt2/XWWedpYiICEVERGjZsmV68MEHFRERodTUVJWVlWnPnj1+l8vLy1NaWlqtPSdPnqz8/HzfKScn5zjcEgAnGuYTglXQvJx+wQUX6Ouvv/bbNnr0aLVr105/+tOf1Lx5c0VGRmrp0qUaOnSoJGndunXavHmzMjMza+3p9Xrl9XqP+b4DOLExnxCsgibE4+LidPrpp/tta9iwoRo3buzbPmbMGE2aNElJSUmKj4/XzTffrMzMTJ1zzjn1scsAQgTzCcEqaELcxowZMxQWFqahQ4eqtLRUWVlZmjVrVn3vFgAwn1AvPMYY+3X2HFdQUKCEhAQt6HK7GoQHfhnrrW32z3EeGfeTVd0X7yRb94y0WBpWkvZWlOr8T2YpPz9f8fHx1v0BBI/q+XRhwiRFegLPp5Gtw617VxmPVV2LhiXWPc/qus2qrqC0XKmznmM+HSNB88E2AABQN4Q4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjnJq7fSj5fNdEfKGRQasm9pts3VPU2m3eu2HO+2XHUyMtFt2taSy1LongOA2vGWEGoQHHs03rH/DuufCDhda1W0uirHumfyt3SzbW1Fm3RN1x5E4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwVEguu5qVVqyGEZUB604a0ci6Z8EbeVZ1LWIqrHt+9ovdj6e0ymPdE8CJYe++rda1kWF2y0J/V2gfCW9tS7GqK6tiWehjiSNxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHBWSK7YN/PwhSYFXOVsXN966Z0K83V15bsu6rLKUZlVXXFmuWTnWbQEEsb5tcxQXGRW4Lnukdc/z/t3Sqm7nNT9b97yuvd0qlYXlZXpqiXVb1BFH4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFEhuexq3o2XK94bGbDuf15Jte7ZrIGxqvtke5V1z2vSy6zqwlRp3RNAcHvj+xaKCfcGrLv/rN3WPRO7PWBV9/1FPa175u2Js6rbWxGSMXPccCQOAICjCHEAABxFiAMA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcFZLr4eXnRKkqMipg3Z/O3WDds6wo3Kou1Xuydc8+522xqisoLZNWWrcFEMQ2l4TJGxZ4nmzY2MS6572th1vVDXlvp3XPKafFWNUVV3KseCxx7wIA4ChCHAAARxHiAAA4ihAHAMBRhDgAAI4ixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEeF5LKrr21opphwb8C6jKRC656NGxZb1e2rwxKEUZeeYVdXtE+aad0WQBA7NbZSDcIrjmrP+Ei7fhGyWz5aki64IMeqjmWhjy2OxAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHBUSK7Ylpm8W7ERUQHr9lXY3z25hbFWdcMGb7LuOW1kG6u6fZX7rHsCCG4b9oYrOjzw7OmeVGLd8+z0bVZ1N5W3sO555WN2M6/clFr3RN1xJA4AgKMIcQAAHEWIAwDgKEIcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABwVksuu7tnnVXmEN2BdSWW4dc8My2UN0/75jXXPtf3sfjyF5WX620/WbQEEsVNiK9UgvCJg3V+/t1929euvP7eqe+w0+2VXX7hnl1VdQUmZGk2ybos64kgcAABHEeIAADiKEAcAwFGEOAAAjiLEAQBwFCEOAICjCHEAABxFiAMA4ChCHAAAR4XUim3GGElSUWWpVX1dVmwrLC+z3IfKo95z7/+rq759ANxT/fgtsZxPFcau7tfednOn2PK6pV9XYrOq28d8OpY8JoTu2S1btqh58+b1vRvHTE5Ojpo1a1bfuwHgMDCfcDhCKsSrqqq0detWxcXFyePx+LYXFBSoefPmysnJUXx8/DHdh2NxXcYYFRYWqmnTpgoL4x0SwEXMJxyOkHo5PSws7JDPBOPj44/5g+RYXVdCQsJR6wXg+GM+4XDwtAgAAEcR4gAAOIoQl+T1ejVlyhR5vYH/xrhL1wXAfcwnHEpIfbANAIATCUfiAAA4ihAHAMBRhDgAAI4ixAEAcFTIhPgjjzyiVq1aKTo6Wt27d9dnn312yPpFixapXbt2io6O1hlnnKE33ngj4HVMnz5dXbt2VVxcnFJSUjR48GCtW7fukJeZP3++PB6P3yk6OrpOtw2A25hPOFwhEeLPPvusJk2apClTpmjVqlXq3LmzsrKytH379lrrP/nkE1111VUaM2aMvvzySw0ePFiDBw/W2rVrD3k9y5Yt04QJE7RixQq9/fbbKi8v10UXXaSioqJDXi4+Pl7btm3znTZt2nTYtxWAW5hPOCImBHTr1s1MmDDB9+/KykrTtGlTM3369Frrhw0bZgYMGOC3rXv37mb8+PF1ut7t27cbSWbZsmUHrZk3b55JSEioU18AJw7mE47ECX8kXlZWppUrV6pfv36+bWFhYerXr5+WL19e62WWL1/uVy9JWVlZB60/mPz8fElSUlLSIev27t2rli1bqnnz5rr00kv1zTff1Ol6ALiJ+YQjdcKH+M6dO1VZWanU1FS/7ampqcrNza31Mrm5uXWqr01VVZUmTpyonj176vTTTz9o3WmnnabHH39cr7zyip588klVVVWpR48e2rJli/V1AXAT8wlHKqT+itnxNGHCBK1du1YfffTRIesyMzOVmZnp+3ePHj3Uvn17PfbYY/rrX/96rHcTQAhiPp04TvgQb9KkicLDw5WXl+e3PS8vT2lpabVeJi0trU71B7rpppv02muv6YMPPjjknxasTWRkpM4880xt2LChTpcD4B7mE47UCf9yelRUlDIyMrR06VLftqqqKi1dutTvGeb+MjMz/eol6e233z5ofTVjjG666Sa99NJLevfdd5Wenl7n/a2srNTXX3+tk046qc6XBeAW5hOOWH1/su54eOaZZ4zX6zXz58833377rRk3bpxJTEw0ubm5xhhjrr76avPnP//ZV//xxx+biIgI849//MN89913ZsqUKSYyMtJ8/fXXh7yeG264wSQkJJj333/fbNu2zXcqLi721Rx4XXfffbd58803zY8//mhWrlxphg8fbqKjo80333xzlO8FAMGI+YQjERIhbowxDz30kGnRooWJiooy3bp1MytWrPCd16dPHzNy5Ei/+ueee86ceuqpJioqynTs2NG8/vrrAa9DUq2nefPmHfS6Jk6c6Nuv1NRUc8kll5hVq1Yd6c0F4BDmEw4Xf4oUAABHnfDviQMAcKIixAEAcBQhDgCAowhxAAAcRYgDAOAoQhwAAEcR4gAAOIoQBwDAUYQ4AACOIsQBAHAUIQ4AgKMIcQAAHPX/A40Jwl/m81NGAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(7, 7))\n",
    "\n",
    "ax = fig.add_subplot(121)\n",
    "ax.imshow(model.C, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='Learned Projection')\n",
    "\n",
    "ax = fig.add_subplot(122)\n",
    "ax.imshow(C, aspect='equal', cmap=plt.get_cmap('magma'))\n",
    "ax.set(title='Model Original Projection')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
